Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 380808: An employee who produces x units per hour earns an hourly wage of y = 0.45x + 10 (in dollars). Find the hourly wage for an employee who produces 9 units per hour.
Click here to see answer by richard1234(7193)

Question 380802: I hope someone can help me. this problem has to be done by factoring. Please help and go step by step. Thank you so much.
Area of a painting. A rectangular painting with a width of
x centimeters has an area of x2 + 50x square centimeters.
Find a binomial that represents the length. See the accompanying
figure.
Click here to see answer by richard1234(7193)

Question 380807: Jason had to submit five animation projects as per his syllabus in the final semesters. He scored 88, 72, 85, and 76 points out of 100 in four projects. What should be his score in the fifth project so that the average of all the projects is at least 83?
Click here to see answer by tutorcecilia(2152)

Question 380813: I need help. I do not understand and the problem has to be done by factoring. Please help.
Tropical Pools sells an aboveground
model for p dollars each. The monthly revenue for this
model is given by the formula
R(p)=-0.08p2 + 300p.
Revenue is the product of the price p and the demand
(quantity sold).
a) Factor out the price on the right-hand side of the
formula.
b) Write a formula D(p) for the monthly demand.
c) Find D(3000).
d) Use the accompanying graph to estimate the price at
which the revenue is maximized. Approximately how
many pools will be sold monthly at this price?
Click here to see answer by rfer(16322)

Question 380810: Please help.. I am having a hard time. I do not know how to work this out. Please it is to be done by factoring. Please..
Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A=P+Prt.
a). Rewrite this formula by factoring out the greatest common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.

I hope someone can help me.
Click here to see answer by rfer(16322)

Question 380857: an object is thrown upward from the Trump Tower in New York City,which is 664 feet tall, with an initail velocity of 45 feet per second. How long will it take the oblect to reach the ground?
Click here to see answer by solver91311(24713)

Question 380858: The average amount customers at a certain grocery store spend yearly is $638.55. Assume the variable is normally distributed. If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94. Is it 0.144 = 14.4% or 0.820= 82.0% or 0.156= 15.6% or 0.943 = 94.3%
Click here to see answer by stanbon(75887)

Question 380851: At a large size U.S. company, the profit, y, is related to the number of Vice Presidents, x, according to the equation . What number of Vice Presidents will maximize the company profit? What is the maximum possible profit in millions? I am stumped on how to start this one? Oh and the equation is y= -25x^2 +300x.
Click here to see answer by stanbon(75887)

Question 380860: To select a __________ sample, an intact group of subjects that represent the population is selected. Is it stratified or random or cluster or systematic.
Click here to see answer by robertb(5830)

Question 380865: Determine whether a correlation coefficient of r = -0.405 is significant at 5% level for a sample size of 22. r is not sifnificant at 5% or r is significant at 5%
Click here to see answer by robertb(5830)

Question 380914: A metal ball is dropped from the top of the 1450 foot high Sears Tower in Chicago. If the distance the ball falls is directly proportional to the square of the time it is allowed to fall and after 1 second, the ball falls 16 feet, find the formula d(t) for the distance the
ball has fallen after t seconds. At what time will the ball hit the ground? The speed s of the ball is given by the formula s(t) = 32t . How fast is the ball traveling when it hits the ground?
Click here to see answer by mananth(16946)

Question 380944: Working with your cousin, you can finish a table in 8 hours. Working alone your cousin can complete the job in 10 hours. How long would it take you to refinish the table working alone?
Click here to see answer by mananth(16946)

Question 380938: A jar contains four coins: a nickel(5 cent), a dime(10 cent), a quarter(25 cent), and a 50-cent piece. Three coins are randomly selected from the jar.
a. List the sample point in S.
b. What is the probability that the selection will contain the 50-cent piece?
c. What is the probability that the total amount drawn will equal 60 cents or more?
Click here to see answer by robertb(5830)

Question 380973: Please help me with this one, I think I have the solution but not sure.
An explosion causes debris to rise vertically. The funtion f(t)=-16^2 + 72t describes the height of the debris above the ground, f(t), in feet, t seconds after the explosion.
When does the debris reach its maximum height: I got (-72/-32, 81)
What is the maximum height of the debris: I got (25/2, 81)
When does the debris hit the ground? I got -9/2
When we do these she tells us for the first two to use b/2(a) and then then last one I did the quadratic equation.
Please help me with this so I can work some more on this packet.
Thank you so very much
Tracy
Click here to see answer by Earlsdon(6294)

Question 380994: #B)Use a scatter plot to deternine the relationship between the x values and the y values, which one fits best Positive linear; negative linear;No relationship;Non linear relationship
x 4 2 7 5 3 6 1
y 31 19 43 35 27 41 14

Thanks!

Click here to see answer by stanbon(75887)

Question 381157: The force that a coil exerts on an object is related to the distance that the coil is pulled from its natural position. The formula to describe this is F = kx. If k = 36 pounds per foot for a certain coil, determine the force exerted if x = 4
Any help showing me how to write this Thank you
Click here to see answer by rfer(16322)

Question 381232: "I'm thinking of a number that, when you multiply it by 9, it is the same as adding 8 to 7 times the number. What is the number?"

Click here to see answer by Jk22(389)

Question 381232: "I'm thinking of a number that, when you multiply it by 9, it is the same as adding 8 to 7 times the number. What is the number?"

Click here to see answer by stanbon(75887)

Question 381309: solve.
pop's cycle shop sells bicycles and tricycles. the number of bicycles is 1 less than 4 times the number of tricycles. all the bicycles ans tricycles together have a total of 174 wheels. how many bicycles are there?
Click here to see answer by stanbon(75887)

Question 381326: solve by system of equations.
The sum of the digits of a two digit number is 12. if 18 is added to the number, the digits will be reversed. Find the number.
Click here to see answer by stanbon(75887)

Question 381316: solve.
moolah has 24 coins that are all dimes and quarters.the value of the coins is $3.75. how many dimes and how many quarters does moolah have?
these are the equations i came up with
d=10 q=25 d+q=24 10d+25q=$3.75
Click here to see answer by mananth(16946)

Question 381246: On an assignment, Lindsy incorrectly writes:12x^3-6x/3x=4x^2-6x

What mistake do you think she is making? Please write a short paragraph explaining how you might convince her that a mistake has been made?

Click here to see answer by richard1234(7193)

Question 381395: A boeing 747 flies the 3000 mile distance from Los Angeles to New York, with a tail wind, in 5 hours. The return trip, against the wind, take 6 hours. Find the speed of the plane and the speed of the wind.
Click here to see answer by mananth(16946)

Question 381322: solve.
a group of students takes their math teacher out for lunch. if five have hamburgers and three have hot dogs,the bill will be $24.25. if three have hamburgers and five have hotdogs, the bill will be $21.75. what is the price of a hamburger?
my equations are
5hamburgers + 3hotdogs = $24.25 3 hamburgers + 5 hotdogs = $21.75
Click here to see answer by edjones(8007)

Question 381492: Susan drove 204 miles using 8 gallons of gas. At this rate, how many miles would she drive using 9 gallons of gas?
Please someone help me to work out this problem. Thank you so much!

Click here to see answer by ewatrrr(24785)

Question 381512: Complementary angles. Two angles are complementary. The measure of one angle is 1.5 times the measure of the other. Find the measure of each angle.
Please help me with this. All I have so far is x+1.5y=90
Click here to see answer by Fombitz(32388)

Question 381518: It takes a train the same time to travel 450 km as it takes a bus to travel 300 km. If the bus is traveling 30 km/h slower than the train, find the rate at which each is traveling.

Pls. ans. this....
Click here to see answer by mananth(16946)

Question 381517: On their 1200 km-trip to Baguio, the Esperas first took a plane and later a van. The van, traveling at 48 kph took 2 hrs. longer than the plane, traveling at 240 kph. How long did the whole trip take?

Pls. ans. this...
Click here to see answer by Jk22(389)

Question 381516: Enrique cycled to his grandmother's house at 15 kph and returned home over the same route at 18 kph. If the whole trip took 7 hrs. and 20 min., how far does Enrique live from his grandmother's house?

Pls. ans. this..
Click here to see answer by stanbon(75887)

Question 381469: The ratio of the weight of copper to the weight of zinc in a coin is 1/38. If 55 kg of zinc is being turned into coins, how much copper is needed?
Click here to see answer by checkley79(3341)

Question 381564: One side of a rectangle is 5 inches and the other side is x inches. Find the value of x if the area must be at least 60 square inches.
I need to make this an inequality. Please help.
Click here to see answer by user_dude2008(1862)

Question 381565: DG�s Plumbing and Heating charges $50 plus $65 per hour for emergency service. Bill remembers being billed just over $450 for an emergency call. How long, to the nearest hour, was the plumber at Bill�s house?
I need to make this an inequality please help.
Click here to see answer by user_dude2008(1862)

Question 381458: It takes a train the same time to travel 450 km as it takes a bus to travel 300 km. If the bus is traveling 30 km/h slower than the train, find the rate at which each is traveling.
Click here to see answer by checkley79(3341)

Question 381584: I do not even know where to begin on this word problem. Can someone help me? Thank you so much for your time.
At a point 30 meters from the base of a tower, the distance to the top of the tower is 2 meters more than twice the height of the tower. Find the height of the tower.
grrr...I'm pulling my hair out.
Click here to see answer by Fombitz(32388)

Question 381586: Suppose that you have 800ft of fencing. you are to constuct a rectangular corral which is divided into two pieces. What are the dimensions that give the largest possible area?
First, Construct a quadratic function that gives the area of the enclosure in terms of a single variable?
I can't figure out the quadratic equation to use. I tried 2y^2 + 3x=0 but of course did not work.
Click here to see answer by stanbon(75887)

Question 381577: This word problem is giving me fits! Can you please help??
"The percent increase for in-state tuition in Iowa public universities can be modeled by f(x)=0.156xsquared-2.05x+10.2, where x is the number of years after 1990.
a) Based on this model, by what percent did the tuition increase in 2001? my answer for this was 6.5%
but I can't get part b.
b) In what year was the minimum tuition increase? To the nearest tenth, what percent did tuition increase that year?
Please help me solve...Thank you! :)
Click here to see answer by stanbon(75887)

Question 381657: A standardized test has a mean score of 100 and a standard deviation of 15.
A. What percentage of people score between 70 and 85?
B. What percentage of people score between 100 and 115?
Click here to see answer by Fombitz(32388)

Question 381760: A mountain climber has a rope 172 feet long attached to his belt being held by his partner down on the ground. The angle of elevation from the ground to the climber is 53. Estimate the climber's height above the ground. Round your answer to the nearest integer
Click here to see answer by stanbon(75887)

Question 381784: mary has 1500 blocks what is the largest number of blocks she can use to construct a cube
Click here to see answer by Fombitz(32388)

Question 381789: RETAIL DISPLAYS You work in a grocery store and you are stacking apples in the shape of a square pyramid with 5 layers. How many apples are in the stack? There are apples in the stack
Click here to see answer by richard1234(7193)

Question 381837: solve.
the sum of two numbers is 12, and twice one number minus the other is -4. what are the numbers?
heres my equations.
x+y = 12 , x * 2-y = -4
show all work please
Click here to see answer by Alan3354(69443)

Question 381852: a girl can walk a flight of steps at a rate of 36 steps per minute. if it takes a 3 1/2 minute to reach the top, how many steps are there?
Could some one please help me with the working of this math problemm
Click here to see answer by ccrox(11)

Question 381451: i need your help!! can you answer this one? A boat made trip of 9 miles with the tide and back against the tide in 3hrs. If the tide had been half as strong the trip would had been made in 36min. less time. find the rate of the boat in still water and the rate of the stronger tide.
Click here to see answer by ankor@dixie-net.com(22740)

Question 382022: For a fund raiser, the sixth grade boxed 5 pounds of pecans. If each box weighed 1/3 of a pound, how many boxes were there?
Click here to see answer by rfer(16322)

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